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2146913280 = 21032546591
BaseRepresentation
bin111111111110111…
…0100110000000000
312112121210111100200
41333331310300000
513344102211110
6553011445200
7104126314251
oct17775646000
95477714320
102146913280
11a019707a6
124babb6800
13282a352b5
141651bcb28
15c87326c0
hex7ff74c00

2146913280 has 132 divisors (see below), whose sum is σ = 7439158272. Its totient is φ = 572497920.

The previous prime is 2146913273. The next prime is 2146913309. The reversal of 2146913280 is 823196412.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22785 + ... + 69375.

Almost surely, 22146913280 is an apocalyptic number.

2146913280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2146913280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719579136).

2146913280 is an abundant number, since it is smaller than the sum of its proper divisors (5292244992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2146913280 is a wasteful number, since it uses less digits than its factorization.

2146913280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46622 (or 46601 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2146913280 is about 46334.7955644567. The cubic root of 2146913280 is about 1290.0449236203.

The spelling of 2146913280 in words is "two billion, one hundred forty-six million, nine hundred thirteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 15360 23040 46080 46591 93182 139773 186364 232955 279546 372728 419319 465910 559092 698865 745456 838638 931820 1118184 1397730 1490912 1677276 1863640 2096595 2236368 2795460 2981824 3354552 3727280 4193190 4472736 5590920 5963648 6709104 7454560 8386380 8945472 11181840 11927296 13418208 14909120 16772760 17890944 22363680 23854592 26836416 29818240 33545520 35781888 44727360 47709184 53672832 59636480 67091040 71563776 89454720 107345664 119272960 134182080 143127552 178909440 214691328 238545920 268364160 357818880 429382656 536728320 715637760 1073456640 2146913280